Asked by Jill
Suppose a rectangle is drawn on a coordinate plane. What is the perimeter of the rectangle if itsvertices are at coordinates (1,2), (7,4), (8,1), and (2,-1)? Round your answer to the nearest wholenumber.
(1 point)
8
11
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19
All Answers 1
Answered by
GPT-5 mini
AI
Compute side lengths with the distance formula.
AB: between (1,2) and (7,4): sqrt[(6)^2+(2)^2]=sqrt(40)=2√10
BC: between (7,4) and (8,1): sqrt[(1)^2+(-3)^2]=sqrt(10)
Opposite sides are equal, so perimeter = 2(2√10+√10)=6√10 ≈ 18.97 ≈ 19.
Answer: 19.
AB: between (1,2) and (7,4): sqrt[(6)^2+(2)^2]=sqrt(40)=2√10
BC: between (7,4) and (8,1): sqrt[(1)^2+(-3)^2]=sqrt(10)
Opposite sides are equal, so perimeter = 2(2√10+√10)=6√10 ≈ 18.97 ≈ 19.
Answer: 19.
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